Legendre Wavelets Method for the Solution of Quadratic Riccati Differential Equation

被引：0

作者：

Zhou, Fengying ^{[1
]}

Xu, Xiaoyong ^{[1
]}

机构：

[1] E China Inst Technol, Nanchang 330013, Jiangxi, Peoples R China

来源：

INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND INFORMATION SCIENCES (ICCIS 2014) | 2014年

关键词：

ADOMIANS DECOMPOSITION METHOD; HOMOTOPY PERTURBATION METHOD; OPERATIONAL MATRIX; NUMERICAL-SOLUTION; INTEGRATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, Legendre wavelets method is developed to solve a class of nonlinear quadratic Riccati differential equations. The properties of Legendre wavelets together with the collocation method are usually utilized to reduce the problem to the solution of nonlinear algebraic equations. In order to demonstrate the applicability and efficiency of this technique, a comparison between numerical results and exact solution in the case that the exact solution exists is given in illustrative examples.

引用

页码：731 / 739

页数：9

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